132006910675200 has 864 divisors, whose sum is σ = 500612908723200. Its totient is φ = 30296494080000.

The previous prime is 132006910675187. The next prime is 132006910675253. The reversal of 132006910675200 is 2576019600231.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6255944650 + ... + 6255965750.

It is an arithmetic number, because the mean of its divisors is an integer number (579413088800).

Almost surely, 2^{132006910675200} is an apocalyptic number.

132006910675200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132006910675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250306454361600).

132006910675200 is an abundant number, since it is smaller than the sum of its proper divisors (368605998048000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132006910675200 is a wasteful number, since it uses less digits than its factorization.

132006910675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22719 (or 22700 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 132006910675200 in words is "one hundred thirty-two trillion, six billion, nine hundred ten million, six hundred seventy-five thousand, two hundred".